Our conditions imposed on the nonlinear term are very easy to verify.
我们施加于非线性项的条件非常容易验证。
Here, the nonlinear term is bounded below and need not be nonnegative.
这里，非线性项是下有界的并且不需要是非负的。
The nonlinear term in the equation may have singularity and discontinuity in its variables.
方程中的非线性项关于其变量可以具有奇性和间断性。
Our results show that the equation has at least one solution provided the nonlinear term satisfies a linear growth restriction.
我们的结论表明如果非线性项满足某种线性增长限制则该方程至少有一个解。
The existence theorem shows that the equation has at least one solution provided the nonlinear term satisfies a linear growth condition.
这个存在定理说明只要非线性项满足某种线性增长条件该方程至少有一个解。
This paper studies the existence of solution for a semilinear wave equation under the nonlinear term and initial value satisfying certain conditions.
本文研究了半线性波动方程在非线性项和初值满足一定条件下解的存在性。
An existence theorem of positive solution is established for a superlinear second-order three-point boundary value problem. Here, the nonlinear term is bounded below and need not be nonnegative.
建立了超线性二阶三个边值问题的一个正解存在定理。这里，非线性项是下有界的并且不需要是非负的。
For the influence of temperature to EGO sensor's output, its nonlinear regression models which include temperature's modifying term be achieved.
针对温度对废气氧传感器输出的影响，建立了带温度校正的EGO传感器非线性回归模型。
Besides the equilibrium and periodic solution, the almost periodic solution, which sometimes appears as quasi-periodic solution, is also a long term regular motion of nonlinear system.
非线性系统的长期规则运动除了平衡点和周期解以外，概周期解，或有时表现为拟周期解也是一种长期规则运动。
Each subsystem contains nonlinear term and the interconnections are nonlinear and unmatched.
每个子系统都包含非线性项，且互联项是非线性非匹配的。
By introducing nonlinear damping term, it is proved that all signals in the closed-loop system are globally stable, and the tracking error and the parameter (estimation) error converge to zero.
通过引入非线性阻尼项，保证了闭环系统的所有信号都是全局稳定的，而且跟踪误差及参数估计误差均收敛于零。
The models of the nonlinear radial flow for the infinite and finite reservoirs including a quadratic gradient term were presented.
考虑了二次梯度项影响的非线性径向流动问题的无限大地层和有界地层渗流模型。
The basic equations for relativistic self-focusing include the nonlinear source term and the effect of diffraction.
相对论自聚焦的基本方程包括非线性源项和衍射的影响。
The obtained optimal control law consists of analytical linear feedforward and feedback terms and a nonlinear compensation term which is the limit of the adjoint vector sequence.
得到的最优控制律由解析的线性前馈-反馈项和伴随向量序列极限形式的非线性补偿项组成。
The effects of nonlinear damping and force source term on blowing-up of the solution were analyzed with an energy-compensation method.
用补偿能量的方法研究了非线性阻尼项和力源项对解的爆破行为的影响。
This paper deals with uniqueness of inversion of the nonlinear source term in heat equation with a class of nonlocal boundary of time.
探讨了热传导方程在非局部时间边界条件下非线性热源反演的唯一性问题。
A nonlinear slowly varying amplitude equation, which incorporates cubic nonlinear term, external excitation and the influence of surface tension, was derived from potential flow equation.
通过求解势流方程，获得了一个包含三阶非线性项、外激励及表面张力影响的非线性振幅方程。
Through theoretical analysis, group waves are decomposited into linear and nonlinear terms, in which the effect of each term is discussed under various water depth.
通过理论推导，将群波分解为线性项和非线性项，讨论群波非线性项在不同水深条件下的影响情况。
This class of nonlinear diffusion equation with convection term resemble to the celebrated equation arising in statistical mechanics and have important physical sense.
这类具有对流项的非线性扩散方程，类似于著名的统计力学方程，具有重要的物理意义。
Hamiltonian of magnons system was simplified by the second quantization method presented by Holstein and Primakoff. The nonlinear interaction term of Hanitltonian was dealt with by mean theory.
采用霍尔斯坦和普里马科夫提出的二次量子化方法把磁振子系统的哈密顿量简化，并应用平均场理论处理了哈密顿量中的非线性相互作用项；
Based on the approximation property of fuzzy systems, a nonlinear system can be expressed as the form of linear parametric model and a modelling error term.
根据模糊系统的逼近性质，非线性系统可以表示为线性参数化模型加上一建模误差项。
The nonlinear correction term is basically responsible for the optical switches.
对于光开关，材料的非线性修正项有着基础性的意义。
Then a solution sequence, which consists of an accurate linear term and nonlinear compensation term, is constructed and its uniform convergence to the optimal solution of the system is proven.
其次，构造了该问题族的由精确线性项和非线性补偿项组成的解序列，并证明了解序列一致收敛到系统的最优解。
We also summarize a set of effective nonlinear forecast theories and methods about the short-term regional air temperature.
总结出一套有效的区域性短期气温的非线性预测理论与方法。
The bifurcation and chaotic process of two-dimensional parallel wall shear flows are described by the forced oscillation equation containing a square nonlinear term.
二维平行壁面剪切流动进入混沌的现象可用含二次非线性项的强迫振动方程来描述。
The steady error is an increasing function of the stiffness parameter if the source term is nonlinear.
当源项是解的非线形函数时，发现定常状态的误差是刚性参数的单调增加函数。
This method makes the nonlinear property of momentum term instead of the momentum term in improved BP algorithm.
这种方法将改进BP算法中的动量项由常量改换为一类关于常量的非线性函数。
This method makes the nonlinear property of momentum term instead of the momentum term in improved BP algorithm.
这种方法将改进BP算法中的动量项由常量改换为一类关于常量的非线性函数。
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